In a single-factor ANOVA problem involving 4 populations, the sample sizes are 7,5,6, and 6. If SST = 65.27 and SSTr = 23.49, then the test statistic value f is
A) 3.75
B) 2.09
C) 7.83
D) 0.56
E) 6.67

Question

Quizplus · Accepted Answer

The test statistic f is calculated as the ratio of MSTr (mean square for treatment) to MSE (mean square for error). MSTr = SSTr/(k-1) = 23.49/3. SSE = SST - SSTr = 65.27 - 23.49 = 41.78. MSE = SSE/(N-k) = 41.78/20. f = MSTr/MSE = (23.49/3)/(41.78/20) = 3.75.

In a Single-Factor ANOVA Problem Involving 4 Populations, the Sample